Publication Date
9-1-2015
Abstract
In this thesis, we consider the system of reaction-diffusion equations and the behavior of the solution of such a system. The focus is to concentrate on solutions which decay at infinity. Under suitable assumptions, we prove the solution and its derivatives decay exponentially in all space. We also attempt to show that the solution decays exponentially for the system of equations when posed on a finite disk. This result has been confirmed via numerical methods before, but has never been attempted through an analytic approach, like in this paper. We prove the exponential decay of the solution in a one dimensional case and also discuss the limitations we face when we extend the problem to a system of equations posed on a finite disk.
Degree Name
Mathematics
Level of Degree
Doctoral
Department Name
Mathematics & Statistics
First Committee Member (Chair)
Jens Lorenz
Second Committee Member
Stephen Lau
Third Committee Member
Maria Cristina Pereyra
Fourth Committee Member
Francesco Sorrentino
Language
English
Keywords
Rotating waves, Exponential decay, Reaction-diffusion system, Sobolev embedding, Contraction mapping
Document Type
Dissertation
Recommended Citation
Konda, Sahitya. "Spatial Decay of Rotating Waves and Restrictions on Finite Disks.." (2015). https://digitalrepository.unm.edu/math_etds/24
